Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The perimeter of the table is 316 inches. What is the width of the table in inches?

Width of the table is 66 inches.

Step-by-step explanation:

Perimeter of rectangle is twice of width and length,

i. e. P = 2 (l + w)

According to question, length is 26 inches longer than width

∴ l = w + 26

Now,

P = 2 (l + w) = 316 inches

⇒ 316 = 2 (l + w)

⇒ 316 = 2 (w + 26 + w) ∵ l = w + 26

⇒ 316 = 4 w + 52

⇒ 264 = 4 w

⇒ w = 66 inches